I was looking at the following project by Nick Gammon.
This is an awesome project and as always excellently documented by Nick.
I would like to build this project using a custom Arduino "Bare" board running off a 3.6V Li-SOCAL2 battery.
My questions:
Is this feasible?
What SMD FETs should I use.
Looks totally feasible.
Just make sure you clock your ATmega at 8 MHz or less.
No high requirements on those FETs. See what your favourite supplier has on stock. Just about any logic level PMOS should do (look for RDS, ON values for VGS of ~3V in the data sheet - if those are given it should work for you).
I don't see anything in the data sheet that suggests it works fine at 3.3V logic levels. It does give 4.5V values which mean it'll do fine with 5V logic.